 |
|
|
Item Details
| Title:
|
ALGEBRAIC GEOMETRY
SHEAVES AND COHOMOLOGY |
| Volume: |
v. 2 |
| By: |
Kenji Ueno (Editor) |
| Format: |
Paperback |
| List price:
|
£45.95 |
|
We believe that this item is permanently unavailable, and so we cannot source
it.
|
|
|
|
|
|
| ISBN 10: |
0821813579 |
| ISBN 13: |
9780821813577 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 February, 2001 |
| Series: |
Translations of Mathematical Monographs Reprint No. 197 |
| Pages: |
200 |
| Description: |
Modern algebraic geometry is built upon two fundamental notions: schemes and sheaves. A sheaf is a way of keeping track of local information defined on a topological space, such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle. This book covers the theory of sheaves and their cohomology. |
| Synopsis: |
Modern algebraic geometry is built upon two fundamental notions: schemes and sheaves. The theory of schemes was explained in ""Algebraic Geometry 1: From Algebraic Varieties to Schemes"", (see Volume 185 in the same series, ""Translations of Mathematical Monographs""). In the present book, Ueno turns to the theory of sheaves and their cohomology. Loosely speaking, a sheaf is a way of keeping track of local information defined on a topological space, such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle. To study schemes, it is useful to study the sheaves defined on them, especially the coherent and quasicoherent sheaves.The primary tool in understanding sheaves is cohomology. For example, in studying ampleness, it is frequently useful to translate a property of sheaves into a statement about its cohomology. The text covers the important topics of sheaf theory, including types of sheaves and the fundamental operations on them, such as...coherent and quasicoherent sheaves. proper and projective morphisms. direct and inverse images. Cech cohomology.For the mathematician unfamiliar with the language of schemes and sheaves, algebraic geometry can seem distant.However, Ueno makes the topic seem natural through his concise style and his insightful explanations. He explains why things are done this way and supplements his explanations with illuminating examples. As a result, he is able to make algebraic geometry very accessible to a wide audience of non-specialists. The book contains numerous problems and exercises with solutions. It would be an excellent text for the second part of a course in algebraic geometry. |
| Illustrations: |
Illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|